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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

If the birth rate of a population is

b ( t ) = 2200 + 52.3 t + 0.74 t 2 people per year

and the death rate is

d ( t ) = 1460 + 28.8 t people per year

find the area between these curves for 0 t 10 . What does this area represent?

To determine

To find:

The area between the two curves.

Explanation

1) Concept:

Use integration to evaluate the area between the two curves.

2) Given:

The equations bt=2200+52.3t+0.74t2 and dt=1460+28.8t

3) Calculation:

Consider the interval [0,10]. In this interval, btd(t)

A= 010(b(t) - d(t)) dt 

=010(2200+52.3t+0.74t2)-(1460+28

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